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Finding the Third Proportional to 7,421.50 and 17,519.75

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Solution

The third proportional to 7,421.50 and 17,519.75 is: 41,358.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,421.50 : 17,519.75 = 17,519.75 : x
  2. Step 2: Convert to fraction form
    7,421.50/17,519.75 = 17,519.75/x
  3. Step 3: Cross multiply
    7,421.50x = 17,519.75 × 17,519.75
  4. Step 4: Simplify right side
    7,421.50x = 306,941,640.06
  5. Step 5: Solve for x
    x = 306,941,640.06/7,421.50
  6. Step 6: Final answer
    x = 41,358.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.